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Proof step 19 from proof junkref-class-01 (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), st[r -- _type] = typeval(mkclasstype(st[r -- _type] .type .class)), junkrefs(str, r0 ' + refs, ty, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, st[r -- _type] .type .class, st), class+∃(str, st[r -- _type] .type .class), r ∈ st ⊦ r0 = jvmref, ty = abstract_type, r = jvmref, is_abstract(st[r -- _type] .type .class), is_reftype(ty)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
st[r -- _type] .type = mkclasstype(class0), st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), st[r -- _type] = typeval(mkclasstype(class0)), junkrefs(str, r0 ' + refs, ty, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, class0, st), class+∃(str, class0), r ∈ st ⊦ r0 = jvmref, ty = abstract_type, r = jvmref, is_abstract(class0), is_reftype(ty)

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [st[r -- _type] .type, class0] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (st[r -- _type] .type, class0)]]